Podcast
Questions and Answers
What is the first step in adding or subtracting mixed numbers?
What is the first step in adding or subtracting mixed numbers?
Convert both mixed numbers to improper fractions.
What is the common denominator for the fractions 9/4 and 7/4?
What is the common denominator for the fractions 9/4 and 7/4?
4
What is the result of adding 2 1/4 and 1 3/4?
What is the result of adding 2 1/4 and 1 3/4?
4
How do you convert a mixed number to an improper fraction?
How do you convert a mixed number to an improper fraction?
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What is the improper fraction equivalent to 2 1/3?
What is the improper fraction equivalent to 2 1/3?
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How do you convert an improper fraction to a mixed number?
How do you convert an improper fraction to a mixed number?
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What is the mixed number equivalent to 7/3?
What is the mixed number equivalent to 7/3?
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Study Notes
Adding and Subtracting Mixed Numbers
- To add or subtract mixed numbers, follow these steps:
- Convert both mixed numbers to improper fractions.
- Find a common denominator for the two fractions.
- Add or subtract the fractions.
- Simplify the result, if possible.
Example: Add 2 1/4 and 1 3/4 * Convert to improper fractions: 9/4 and 7/4 * Find a common denominator: 4 * Add fractions: 9/4 + 7/4 = 16/4 * Simplify: 4
Converting Between Mixed and Improper Fractions
Converting Mixed Numbers to Improper Fractions
- Multiply the whole number part by the denominator.
- Add the numerator to the product.
- Write the result over the original denominator.
Example: Convert 2 1/3 to an improper fraction * Multiply whole number part by denominator: 2 × 3 = 6 * Add numerator: 6 + 1 = 7 * Write as improper fraction: 7/3
Converting Improper Fractions to Mixed Numbers
- Divide the numerator by the denominator.
- Write the quotient as the whole number part.
- Write the remainder as the new numerator over the original denominator.
Example: Convert 7/3 to a mixed number * Divide numerator by denominator: 7 ÷ 3 = 2 with a remainder of 1 * Write as mixed number: 2 1/3
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Description
Learn how to add and subtract mixed numbers, and convert between mixed and improper fractions. Practice with examples and master fractions operations!
